The General Solution of the Exact Differential Equation $e ^ { 2 x } \left( \frac { d y } { d x } + 2 y \right) = x ^ { 2 }$

Multiple Choice

The general solution of the exact differential equation $e ^ { 2 x } \left( \frac { d y } { d x } + 2 y \right) = x ^ { 2 }$ is

A) $y e ^ { 2 x } - 3 x ^ { 3 } = C$
B) $- 3 y e ^ { 2 x } + x ^ { 3 } = C$
C) $- 3 y e ^ { 2 x } - x ^ { 3 } = C$
D) $3 y e ^ { 2 x } + x ^ { 3 } = C$
E) $3 y e ^ { 2 x } - x ^ { 3 } = C$